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Quiz 10
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Q.1
Incomes of A, B, and C are in the ratio 7 : 9 : 12 and their respective expenditures are in the ratio 8 : 9 : 15. If A saves $$\frac{{\text{1}}}{{\text{4}}}$$ of his income, then the ratio of their savings is -
56 : 99 : 69
33 : 19 : 23
15 : 28 : 27
56 : 69 : 99
Q.2
Which of the following represents a correct proportion ?
12 : 9 :: 16 : 12
13 : 11 :: 5 : 4
30 : 45 :: 13 : 24
3 : 5 :: 2 : 5
Q.3
If A : B = 7 : 9 and B : C = 3 : 5 then A : B : C is equal to = ?
7 : 9 : 5
21 : 35 : 45
7 : 9 : 15
7 : 3 : 15
Q.4
The ratio of the length of a school ground to its width is 5 : 2. If the width is 40m, then the length is = ?
200m
100m
50m
80m
Q.5
The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was -
16
24
32
36
Q.6
If $$\frac{x}{y} = \frac{3}{4}{\text{,}}$$ the ratio of (2x + 3y) and (3y - 2x) is = ?
2 : 1
3 : 2
3 : 1
1 : 1
Q.7
The ratio of milk to water in 80 litres of a mixture is 7 : 3. The water (in litres) to be added to it to make the ratio 2 : 1 is -
4
5
6
8
Q.8
A mixture contains milk and water in the ratio 5 : 1. On adding 5 litres of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is = ?
16 litres
25 litres
32.5 litres
22.75 litres
Q.9
The ratio of the ages of two persons is 4 : 7 and the age of one of them is greater than that of the other by 30 years. The sum of their ages (in years) is = ?
110
100
70
40
Q.10
A box contains 280 coins of one rupee, 50 paise and 25 paise. The value of each kind of the coins are in the ratio of 8 : 4 : 3. Then the number of 50 paise coins is = ?
70
60
80
90
Q.11
A policeman starts to chase a thief. When the thief goes 10 steps the policeman moves 8 steps and 5 steps of the policeman are equal to 7 steps of the thief. The ratio of the speed of the policeman and the thief is = ?
25 : 28
25 : 26
28 : 25
56 : 25
Q.12
The sum of the squares of three numbers is 532 and the ratio of the first and the second as also of the second and the third is 3 : 2. The third number is -
8
12
18
20
Q.13
Two numbers are in the ratio 17 : 45. One third of the smaller is less than $$\frac{{\text{1}}}{{\text{5}}}$$ of the bigger by 15. The smaller number is -
$${\text{25}}\frac{1}{2}$$
$${\text{67}}\frac{1}{2}$$
$${\text{76}}\frac{1}{2}$$
$${\text{86}}\frac{1}{2}$$
Q.14
If Rs. 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by = ?
Rs. 36.50
Rs. 35.50
Rs. 34.50
Rs. 33.50
Q.15
A sum of Rs. 76 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 6 more than what C gets. The ratio of their share is gets. The ratio of their share is = ?
19 : 24 : 33
32 : 25 : 19
32 : 24 : 20
19 : 25 : 33
Q.16
The total emoluments of A and B are equal. However, A gets 65% of his basic salary as allowances and B gets 80% of his basic salary as allowances. What is the ratio of the basic salaries of A and B ?
5 : 7
7 : 9
12 : 11
16 : 13
Q.17
A sum of money is divided among A, B, C and D in the ratio of 3 : 4 : 9 : 10 respectively. If the share of C is Rs. 2580 more than the share of B, then what is the total amount A and D together ?
Rs. 5676
Rs. 6192
Rs. 6708
Rs. 7224
None of these
Q.18
The ratio of the incomes of Ram and Shyam is 7 : 17 and that of Shyam and Sohan is 7 : 17. If the income of Ram is Rs. 490, what is the income of Sohan ?
Rs. 490
Rs. 1190
Rs. 2790
Rs. 2890
Q.19
The sides of a triangle are in the ratio $$\frac{{\text{1}}}{{\text{2}}}$$ : $$\frac{{\text{1}}}{{\text{3}}}$$ : $$\frac{{\text{1}}}{{\text{4}}}$$ and its perimeter is 104 cm. The length of the longest side (in cm) is -
26
32
48
52
Q.20
The monthly incomes of two families A and B are shown by the following diagrams:
If the income of the family B is Rs. 12000, then the income of family A would be:
Rs. 15000
Rs. 20000
Rs. 25000
Rs. 30000
Q.21
Two vessels A and B contain milk 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $$69\frac{3}{{13}}$$ % milk is =?
3 : 5
5 : 2
5 : 7
2 :7
Q.22
A sum of Rs. 53 is divided among A, B and C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their share is gets. The ratio of their share is = ?
16 : 9 : 18
25 : 18 : 10
18 : 25 : 10
15 : 8 : 30
Q.23
Rs. 1087 is divided among A, B and C such that if Rs. 10, Rs. 12 and Rs. 15 are diminished from the shares of A, B and respectively, the remainders will be in the ratio of 5, 7 and 9. What is the share of B ?
Rs. 260
Rs. 355
Rs. 362
Rs. 465
Q.24
Two numbers x and y are in the ratio 5 : 7 and their sum is 36. Then x is -
12
15
18
19
Q.25
Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller of the numbers is -
12
18
24
36
Q.26
Rs. 900 is divided among A, B, C the division is such that $$\frac{1}{2}$$ of A's money = $$\frac{1}{3}$$ of B's money = $$\frac{1}{4}$$ of C's money. Find the amount ( in rupees) received by A, B, C = ?
300, 400, 200
350, 450, 100
200, 300, 400
400, 150, 350
Q.27
The three successive angles of a cycle quadrilateral are in the ratio 1 : 3 : 4, find the measure of the fourth angle ?
72°
30°
36°
108°
0 h : 0 m : 1 s
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